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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 972

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.88.

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The machine reads it as

  1. V. NOYL A CY22DICA.
  2. Corocurum.
  3. sine consrngulis quarum parces exiltune; de eadem omnino Formari de illis posine
  4. demonstrationes quae rugulis inceeris aur circulis in se ductis inseruiune.
  5. Noula ABD C Sccetur planO F. F C, parallelo illi quod per AC &
  6. axem cylindri ponicur, laque Vongula alticudo aequalis B9 dia-
  7. metrociCuu.
  8. Dicoongulan cocant LsDCD ad parcem decullacam BF. FGD eri-
  9. plicatam habere rarionem eius quam habet AC. recta ad lineam L. F.
  10. Demonstratio.
  11. Vper RF diamecro circulus describatur
  12. KL F, _ ponantur linCX LBPO
  13. nOHL Quoceungne, sed recta ad diame
  14. EruM RF. eric igicur BP O rectangulum
  15. xquale R L F rectangulo, hoc est quadraro
  16. P. L. Amilicer erir ONP rectansulum x
  17. quale RNF rectangulo, hoc eAt quadraco
  18. NM. Vndequia sinsula rectangula ONT P
  19. aequalia sune quadraris MIN, hinc RBF.
  20. ductum in residuum RSR F xquale a est
  21. Colido quod Ac ex semicirculo R L F in lC
  22. ducto: Sed semicirculus RP F in se ductus
  23. ad semicirculum AB C, in se ductum estbin
  24. criplicara racione diamerri K F ad diame-
  25. erum eotam C A sive ad B O. igitur etiam
  26. corpus ex ductu plani RBF in planum
  27. RSO R F ad semicirculum CX ABC, c0
  28. cum in se ductum habec eriplicacam rarioné
  29. linex RF ad diamerrum B O. aequi le-
  30. BMENEA RBF, RS OR F producune sC.
  31. smencum rngulare KDC F, & lemicircu-
  32. lus ACB in CC ductus producic toram vngulam, rei in Scholio praecedenci demon-
  33. Strauimus. ergo segmentum rngulare est ad onsulam in criplicaca ratione P. F ad AC.
  34. Duod eratdemonstrandum.
  35. iXcendi pollalo hanc propolicionem ad solidus quantitates que pienuneur exse
  36. omencis parcium circuli similibus in se ductis, cum illae proporcionales imprimis
  37. PROPOSITIO XXI.
  38. CdiSuotont.
  39. 1
  40. Xhac e ex Corollario r7. sequicur quamliberonou l2 ad seomeneum platio iuaca
  41. dereluationem propolicionts abc pabaa abe emetu
  42. quamhabet AC recta ad L. L.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 972. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1029?run=74